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Finding the Fourth Proportional to 153.09, 211.41 and 106.52

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Solution

The fourth proportional to 153.09, 211.41 and 106.52 is: 147.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.09 : 211.41 = 106.52 : x
  2. Step 2: Convert to fraction form
    153.09/211.41 = 106.52/x
  3. Step 3: Cross multiply
    153.09x = 211.41 × 106.52
  4. Step 4: Simplify right side
    153.09x = 22,518.34
  5. Step 5: Solve for x
    x = 22,518.34/153.09
  6. Step 6: Final answer
    x = 147.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.